Solve 1/9+1/5+1/2

$$\frac{ 1 }{ 9 } + \frac{ 1 }{ 5 } + \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{73}{90}\approx 0.811111111$$

Solution Steps

Least common multiple of 9 and 5 is 45. Convert \frac{1}{9} and \frac{1}{5} to fractions with denominator 45.

$$\frac{5}{45}+\frac{9}{45}+\frac{1}{2}$$

Since \frac{5}{45} and \frac{9}{45} have the same denominator, add them by adding their numerators.

$$\frac{5+9}{45}+\frac{1}{2}$$

Add 5 and 9 to get 14.

$$\frac{14}{45}+\frac{1}{2}$$

Least common multiple of 45 and 2 is 90. Convert \frac{14}{45} and \frac{1}{2} to fractions with denominator 90.

$$\frac{28}{90}+\frac{45}{90}$$

Since \frac{28}{90} and \frac{45}{90} have the same denominator, add them by adding their numerators.

$$\frac{28+45}{90}$$

Add 28 and 45 to get 73.

$$\frac{73}{90}$$

Factor

$$\frac{73}{2 \cdot 3 ^ {2} \cdot 5} = 0.8111111111111111$$